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Finding the Fourth Proportional to 65,114.42, 89,853.64 and 36,429.18

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Solution

The fourth proportional to 65,114.42, 89,853.64 and 36,429.18 is: 50,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.42 : 89,853.64 = 36,429.18 : x
  2. Step 2: Convert to fraction form
    65,114.42/89,853.64 = 36,429.18/x
  3. Step 3: Cross multiply
    65,114.42x = 89,853.64 × 36,429.18
  4. Step 4: Simplify right side
    65,114.42x = 3,273,294,425.22
  5. Step 5: Solve for x
    x = 3,273,294,425.22/65,114.42
  6. Step 6: Final answer
    x = 50,269.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.